[R] question with uniroot function

Uwe Ligges ligges at statistik.tu-dortmund.de
Sat Sep 3 18:59:39 CEST 2011

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On 03.09.2011 18:31, li li wrote:
> Dear all,
>     I forgot to mention the values for the parameters in the first email.
>
> u1<- -3
>
> u2<- 4
>
> alpha<- 0.05
>
> p1<- 0.15
>
>
>
> Thank you very much.
>
> 2011/9/3 li li<hannah.hlx at gmail.com>
>
>> Dear all,
>>     I have the following problem with the uniroot function. I want to find
>> roots for the fucntion "Fp2" which is defined as below.
>>
>>
>> Fz<- function(z){0.8*pnorm(z)+p1*pnorm(z-u1)+(0.2-p1)*pnorm(z-u2)}
>>
>>
>> Fp<- function(t){(1-Fz(abs(qnorm(1-(t/2)))))+(Fz(-abs(qnorm(1-(t/2)))))}
>>
>>
>> Fp2<- function(t) {Fp(t)-0.8*t/alpha}
>>
>>
>>
>> th<- uniroot(Fp2, lower =0, upper =1,
>>
>>             tol = 0.0001)\$root
>>
>>
>> The result is 0 as shown below.
>>
>>
>>> th
>> [1] 0

No surprise, since

Fp2(0) is 0. And uniroot is finished then and does not need to evaluate
at a lower starting at some positive value such as:

uniroot(Fp2, lower=1e-7, upper=1, tol=1e-7)

# 0.009521749

Uwe Ligges

>>
>> However, there should be a root between 0.00952 and 0.00955, since the
>> function values are of opposite signs as below.
>>
>>
>>> Fp2(0.00952)
>> [1] 2.264272e-05
>>> Fp2(0.00955)
>> [1] -0.0003657404
>>
>> Can any one give me a hand here? Thanks a lot.
>>         Hannah
>>
>
> 	[[alternative HTML version deleted]]
>
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